Jun 22 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C7 is the only square in row 2 that can be <3>
R2C3 is the only square in row 2 that can be <7>
R2C5 is the only square in row 2 that can be <8>
R1C7 is the only square in column 7 that can be <9>
R7C8 is the only square in column 8 that can be <2>
R4C9 is the only square in column 9 that can be <5>
Intersection of row 5 with block 5. The value <9> only appears in one or more of squares R5C4, R5C5 and R5C6 of row 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R4C4 - removing <9> from <23489> leaving <2348>
R4C5 - removing <9> from <24679> leaving <2467>
R4C6 - removing <9> from <23469> leaving <2346>
Intersection of column 7 with block 9. The value <6> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R7C9 - removing <6> from <146> leaving <14>
R9C9 - removing <6> from <4678> leaving <478>
Squares R7C9 and R8C8 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R8C7 - removing <1> from <16> leaving <6>
R9C9 - removing <4> from <478> leaving <78>
R6C7 is the only square in column 7 that can be <1>
R5C9 can only be <8>
R5C1 can only be <3>
R9C9 can only be <7>
R4C7 can only be <7>
R9C7 can only be <8>
R1C8 is the only square in row 1 that can be <7>
R3C8 is the only square in row 3 that can be <8>
R4C4 is the only square in row 4 that can be <8>
R6C5 is the only square in row 6 that can be <7>
R6C1 is the only square in row 6 that can be <8>
R8C8 is the only square in column 8 that can be <1>
R7C9 can only be <4>
R7C1 can only be <6>
R7C5 can only be <9>
R9C3 can only be <5>
R7C6 can only be <3>
R3C5 can only be <2>
R8C5 can only be <4>
R7C2 can only be <1>
R8C4 can only be <5>
R9C1 can only be <4>
R9C4 can only be <2>
R8C3 can only be <9>
R9C6 can only be <6>
R3C1 can only be <5>
R4C5 can only be <6>
R4C2 can only be <9>
R2C2 can only be <4>
R4C3 can only be <2>
R9C2 can only be <3>
R2C6 can only be <1>
R5C6 can only be <9>
R1C4 can only be <4>
R3C4 can only be <9>
R3C2 can only be <6>
R1C1 can only be <2>
R3C9 can only be <1>
R6C2 can only be <5>
R5C4 can only be <1>
R1C9 can only be <6>
R4C6 can only be <4>
R1C3 can only be <1>
R6C3 can only be <6>
R4C8 can only be <3>
R1C6 can only be <5>
R6C6 can only be <2>
R6C4 can only be <3>
R6C8 can only be <4>
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